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A rectangular hyperbola with centre C, i...

A rectangular hyperbola with centre C, is intersect by a circle of radius r in four points, P, Q, R and S, `CP^(2) + CQ^(2) + CR^(2) + CS^(2)` is equal to

A

`r^(2)`

B

`2r^(2)`

C

`3r^(2)`

D

`4r^(2)`

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Chapter Test
  1. The number of normals to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

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  2. If e and e1 are the eccentricities of the hyperbola xy=c^(2) and x^(2)...

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  3. A rectangular hyperbola with centre C, is intersect by a circle of rad...

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  4. The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0, is

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  5. If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is...

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  6. Chords of the hyperbola x^(2)-y^(2)=a^(2) touch the parabola y^(2)=4ax...

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  7. Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-...

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  8. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

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  9. If the chords of contact of tangents drawn from P to the hyperbola x^(...

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  10. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

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  11. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

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  12. Locus of P such that the chord of contact of P with respect to y^2=4ax...

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  13. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

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  14. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

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  15. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

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  16. The product of lengths of perpendicular from any point on the hyperbol...

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  17. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

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  18. Find the area of the triangle formed by any tangent to the hyperbola (...

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  19. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

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  20. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

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